论文标题
耦合引起的周期性窗口在网络离散时间系统中
Coupling-induced periodic windows in networked discrete-time systems
论文作者
论文摘要
由于单位之间的相互作用，网络非线性系统呈现出各种新兴现象。这些系统的一个有趣特征是，即使每个单元在隔离时都会振荡时，也存在稳定的周期性行为。令人惊讶的是，网络相互作用通过周期性取代混乱的机制仍然很少了解。在这里，我们表明，通过复制周期性窗口可以发生这种规律性的发作。这种现象乘以系统参数空间中的稳定域，不仅抑制了混乱，而且还使网络降低了易受外部干扰（例如冲击和噪声）的影响。此外，我们观察到网络群集同步与复制品周期窗口相对应的参数。为了确认这些观察结果，我们采用了主稳定函数的形式主义，表明在复制窗口中，完整的同步状态确实在横向上是不稳定的。
Networked nonlinear systems present a variety of emergent phenomena as a result of the mutual interactions between their units. An interesting feature of these systems is the presence of stable periodic behavior even when each unit oscillates chaotically if in isolation. Surprisingly, the mechanism in which the network interaction replaces chaos by periodicity is still poorly understood. Here, we show that such an onset of regularity can occur via replication of periodic windows. This phenomenon multiplies the stability domains in the system parameter space, not only suppressing chaos but also making the network less vulnerable to external disturbances such as shocks and noise. Moreover, we observe that the network cluster synchronizes for the parameters corresponding to the replica periodic windows. To confirm these observations, we employ the formalism of the master stability function demonstrating that the complete synchronized state is indeed transversally unstable in the replica windows.
